It is shown that, with the help of the sufficient criterion for hydromagnetic stability of a plasma proposed by Solovev, It is possible to calculate for stellarators a non-trivial plasma pressure limit at which there is hydromagnetic plasma stability with respect to arbitrary perturbations. In the simplest case of a two-turn stellarator with a circular magnetic axis this limit has the form β ≤ (δU0/U0)(ι/2π)2.
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Shafranov et al. (1969) studied this question.
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